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Estimating New Zealand's neutral rate and its drivers: A VECM approach

This note estimates the neutral rate for New Zealand using a Vector Error Correction Model (VECM).

Willy Alanya-Beltran

Key findings

  • This note estimates the neutral rate for New Zealand using a Vector Error Correction Model (VECM). The neutral interest rate is the rate of interest at which monetary policy is neither expansionary or contractionary. The neutral rate is not directly observable and hence must be estimated. The VECM relies on the long-run relationship between short- and long-term ex-ante real interest rates to explain changes in the neutral rate. 
  • The estimated real neutral rate shows a downward trend following 2008 starting from approximately 4 percent, reaching negative values during the onset of the pandemic in 2020, and since then, steadily rising to positive values at the end of the estimation period in 2023. Long-term estimates of the nominal neutral rate under this framework suggests that monetary policy was contractionary from 2022Q2 to 2023Q4. 
  • The VECM estimation allows for the decomposition of neutral rate changes, which is a valuable tool to understand the drivers of changes in the neutral rate. Interest rates dynamics explain most of the change in neutral rates between 1997 and 2023. However, I also find the following factors contribute to the decline in neutral rates: lower productivity, appreciating nominal exchange rates, and to a lesser degree, a decrease in real investment and higher public debt.

Why we did this research

This note estimates New Zealand’s neutral rate using a novel-for-New Zealand multivariate regression approach not currently included in the Reserve Bank’s range of neutral rate models. Specifically, the Vector Error Correction Model (VECM) framework introduced in this Note provides an empirical estimate for the neutral rate by employing a multivariate Beveridge-Nelson decomposition. The estimated neutral rate under this framework can be decomposed to assess the contribution of each data series to the change in neutral rate over the estimation period. This approach better captures interdependencies between the economic variables compared to structural models, allowing for data-driven relationships and considering a larger number of variables to decompose the movements in the neutral rate. The VECM r* is broadly consistent with existing RBNZ neutral model estimates, demonstrating this methodology's value as a complementary tool for policymaking and analysis.

What data have we used? 

Variables Frequency Transformation Source
NZ 3-month bill rate Daily Quarterly average, level/ first difference Reuters
NZ 10 years swap rate Daily Quarterly average, level/ first difference Reuters
Public debt as percentage of GDP  Annual  Interpolated, first difference  International Monetary Fund 
Real private investment  Quarterly  First log difference  Stats NZ 
Total hours worked   Quarterly First log difference  Stats NZ 
Economic policy uncertainty  Monthly  Quarterly average, first difference  Ali, S., Badshah, I., Demirer, R., Hegde, P. (2022) 
Current account as percentage of GDP  Quarterly  First difference  Stats NZ 
Number of employees (thousands)  Quarterly  First log difference  Stats NZ 
Private consumption  Quarterly  First log difference  Stats NZ
NZSIM Total factor productivity  Quarterly  First difference  RBNZ 
Trade weighted index nominal exchange rate  Quarterly First log difference  RBNZ 
Unemployment rate  Quarterly  First difference  Stats NZ 
Consumer price index  Quarterly  First difference  Stats NZ 

Media contact

James Weir
MOB: 021 103 1622 
Email: [email protected]